Question

How would I solve this?

Answer 1

Hi.

Answer 2

hello

Answer 3

The way I was thought to approach this type of question was to have a discussion in you head as to what would happen if you substituted numbers that were close to 10.

Answer 4

But they want is to use graphs and tables.

Answer 5

us*

Answer 6

here check this out https://www.symbolab.com/solver/limit-calculator/%5Clim_%7Bx%5Cto10%7D%5Cleft(%5Cfrac%7B1%7D%7B%5Cleft(x-10%5Cright)%5E%7B2%7D%7D%5Cright)/?origin=button

Answer 7

So the limit is positive infinity and there is no vertical asymptote?

Answer 8

There is a vertical asymptote.

Answer 9

But the limit is positive infinity

Answer 10

the vertical asymptote is at 10

Answer 11

The rule for a vertical asymptote in calc is when the limit as x approaches a constant like 10, and the solution is either negative or positive infinity then there is a vertical asymptote at x=10

Answer 12

Also, a vertical asymptote can be defined if it meets the conditions I mentioned above from, at least, ONE SIDE. For example, you only need to test proxy values of x from one side (positive or negative to 10) in order to classify x=10 as a vertical asymptote.

Answer 13

(positive or negative approaching 10)*

Answer 14

That is one way you could represent it with a table.